- #1

lycraa

- 17

- 0

## Homework Statement

i need to derive the recurrence relations for the spherical Bessel function. i got j

_{n-1}(x)+j

_{n+1}(x)=(2n+1)/x j

_{n}(x) but i cant get nj

_{n-1}(x)-(n+1)j

_{n+1}(x)=(2n+1) j'

_{n}(x). i know i have to use j

_{n}(x)=(pi/2x)

^{1/2}J

_{n+1/2}(x) and the recurrence relations for regular bessel functions J

_{n-1}(x)-J

_{n+1}(x)=2 J'

_{n}(x) and possibly also J

_{n-1}(x)+J

_{n+1}(x)=2n/x J

_{n}(x). i don't even know were to start because i don't know were the 'n's come from in the recurrence relation I'm trying to derive.

## Homework Equations

above

## The Attempt at a Solution

i just need to know were to start! nothing i've tried comes even close